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Finding the Fourth Proportional to 13,506.63, 20,263.18 and 4,272.63

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Solution

The fourth proportional to 13,506.63, 20,263.18 and 4,272.63 is: 6,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.63 : 20,263.18 = 4,272.63 : x
  2. Step 2: Convert to fraction form
    13,506.63/20,263.18 = 4,272.63/x
  3. Step 3: Cross multiply
    13,506.63x = 20,263.18 × 4,272.63
  4. Step 4: Simplify right side
    13,506.63x = 86,577,070.76
  5. Step 5: Solve for x
    x = 86,577,070.76/13,506.63
  6. Step 6: Final answer
    x = 6,409.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.